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Beliebt Rechnen >

y^{''}+22y^'+αy=0,y(0)=1,y^'(0)=-25

Lösung

y^{^{''}} + 22 y^{^{'}} + α y = 0, y (0) = 1, y^{^{'}} (0) = - 25

Lösung

y = e^{t (- 11 + - α + 121)} (1 + \frac{- - α + 121 - 14}{2 121 - α}) - \frac{e ^{t (- - α + 121 - 11)} ( - - α + 121 - 14 )}{2 121 - α}

Schritte zur Lösung

y^{''} (t) + 22 y^{'} (t) + α y = 0

Solve linear ODE:

y = e^{t (- 11 + - α + 121)} (1 + \frac{- - α + 121 - 14}{2 121 - α}) - \frac{e ^{t (- - α + 121 - 11)} ( - - α + 121 - 14 )}{2 121 - α}

y = e^{t (- 11 + - α + 121)} (1 + \frac{- - α + 121 - 14}{2 121 - α}) - \frac{e ^{t (- - α + 121 - 11)} ( - - α + 121 - 14 )}{2 121 - α}

Graph

Beliebte Beispiele

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